10-26 Exercise 3: Find roots of a quadratic equation

Question

Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i

Comments

We will continue this question in few days

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Everything is fixed. Enjoy your time with The Judge :)

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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

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Your code has newline at the end sometime. You learned this lesson many times!

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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.

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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge

Answer 1

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int main()
{
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Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

Answer 2

Hidden content!
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{
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}

Comments

prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 3

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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

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int main()
{

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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 5

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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* **   ******  ****   * *   **   * *** **     *     *    
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*    * *  **  * * *     **  *  ** * ** *   ****  *   ****** * **********  ****  -x1;
  ********  * **  ***   ******* ** ** **** *** * *   **** **   ** * *** *** **** **  ** * **  * * * * of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 6

Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
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    {
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}

Comments

prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'

Answer 7

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
 * ** **   ****   *  *    ** a, b, c, D, spD, x1, x2;
    
   *   * * ***  ** ***** **    **** ** ** **  %lf %lf", &a, &b ,&c)==3)
    {
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  ******** *****   * ***  ***  **    *  ****  * 
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 *****  *    *  ******  *  **** ** ***  *  *   * ** 
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 ****    *  * ***  * ** **  **  **  *  *  *   * *   ** *   **  * *  **** ***** (-b+spD)/(2*a);
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  *  * *   ****   **  ***** **     *  ***  * ***********    * if(D==0)
*** ***** *** **   ** ***  * ******    ** ***   *** ** *
  * ** **** * ** * * ***** * *    ******  **    ** ***    *   ** **    ** **  * (-b)/(2*a);
*   **  *    **   ** **** *** *  *** * *    **  *** ***      *  *   ** ** *   * *  *  ** *
*  *   ** **  ** *        *    **     * * * * * **  * * ** * * ****      ** *   
*   ***  ** *** **  ****    ***   *  ** *   * **    * ****  *** **  ** *  **   **   *  * * *   **   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
 ** * * * ** * ****** **  * **  ***** * **  *          * * * ** ** **  ***
***  * * ****** * **   *   * * ****** ****  * *    ******  * *   *       **  
 * * *  ** * *****       *   *   *** * * *     * * **  *     ******* * *  
 *** ** *  ***  * ***   *    * **  * *   ** *  ***  *** * *   * *  *  ** *****
**  * **  * *  ***     * ** **  ** ** * ***  ******    * **  ** *** ***  **  ****   ***** *     of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
 ******  *     *  * **** ***  **    **   **** *        *     ****  **  *****  **   *
*  *** *       * * ***  * *   *** *** *****      **** ** **
*** ** **   *   * *   ** *** *  *  *   *   * * *  if(D<0)
* ** *   * **   *   * ***  *** * *********  * ****      
**  *  * **     *  *    * *****   ** ***  **    ****      ***    * **   ** ** **    ** (-b)/(2*a);
* *  ******* **  * *  *  *** ** ****  * **  * *    *  **       * * ****  * ** * -x1;
* *   **** *  * *  **** *** *   * * *  * *     *   **  *  *    *  *  *** * * *  *  *  *   *** *  **  * *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
      **  **** * **  * ****       * * *** ***        **  
 ******   *     **** * * ** 
    
 **   ** ***  *** *     *  * *      * * ** * *  *****
* ***** *   * ** ***     * *     * 0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 8

Hidden content!
* **  **   ** ** **  
* **  ***   * **** *  
** * ****   ** *  
int *   *  *
*  ** * **  * *   * *   ** ***   a, b, c, D, spD, x1, x2;
*   ** ***  *** *** **   *       
* * *******   ****   **  ** *** *  * ** %lf  **** * **      **  &b *  *  * *
* *** *   {
 * *** ***     *** ** *** ** *  *      ***        ***** *  - (4*a*c);
**   *  ** * *** * **  * * *  ***  *** **   ***     ** *** *  
*  *  *          *  * *
****        {
*  **  **    *  ****** ** * ** *******  *  ** ***  *   *  *   *    **   **
 * **** **    * * * ********        *   **    *  ***** * *    x1= *  * *  ** *
*** **  *  *  * *   *       ** * ** *  * * *  *   *  ** **  * *   *   x2= ****   **   *
** *****  *** **     * * ****  ***        ** ** *  ** **   *   if (x1==x2){
 ***  **** ***      ** ****  *** *** * ** ***   ** * *  *        *    ** ****   ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = ** **  *  *  *   * ***
   ** *  **  * *  *** ****** * * * * **  **    * *     * *        *   * **** ** 
*   * *  ** **** **  * * ** **** *** *** ** *     ** ***  *    else {
 ***** *** *   ** **  ***   *****  *****   *  **  *****  **      ** *  **** *   * ** * *  **** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and  *    = %.2lf\nx2 = **   *  ** ** * ***  *
   ***  *      * *  **** *  * *  ** **   ***    * ***** ** ** * }
   *  *  ** ***** * ********  * * ** **   **   *  **
 *  * *** * *   **  * *   *  ***** ***   ** * ** **    *** if(D==0)
** ****  **** **  *    {
**   ***   ***  *     *  *    *   **  ***  ******   *  **** *  ** * ***   *** ** ** ** 
 ** *** *  *** * * *   ***     *****    *   * *   **  * ** ******** *** **  *    * * *  * 
** * **         *       {
******       ** *    ** *   *   ** *  * *     * *  **    *****    * *  * * *   * * ** **   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =  *   * *   *     * 
* *    * **   **  *** * *     *   **  *    *  ***** **  ** * **     **    *    
*    ****    ****       ***  *** * * *****      ***       ** **  ***  ***      * **  
   * * **** *  ** **** * **  *   *   * **** ****      **  *      *      ***  ***    **     
 **   *             {
 ** **    * * ** *** ** **** *   **  *** **  * **   ***     * **** ***   *    *** * * * ****** * ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =  * *** *  ***      * 
 **     * ** *      *  **   * ******     ** *** **   * ** * * * * **  * **** 
***        * * *** *  ** ****  ** *  ***** **   *** *  * 
 * * *  ** * ** ****  ****   * *  **  * **  *  * *  **  *       *** 
*    *        *****     
            x1=   *** 
     * **     *** * **    *** **   * x2= -x1;
**  *  * * *  *** ****** **  * *   *** * * ***   *****  **  * *  *** *  ** **   *    ** **   * of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and   **     =    **** ***** =     **** *   ** * * **** **
*****  ***  **   *   * **** *   *  ***    **  *  **
*  * * *  *   *     ***  
*** * *  **     ***   * *  
  ** ** ** *  * ** * * ***   *   *    * ****  * * 
   **  *   *** *  *** ** **   *  0;
}

Comments

/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 9

Hidden content!
 *   *****    ** **  
  **        ***  *  
int main(){
**  * *** ** * * **  * *   * *  a,b,c;
**   ** *   * **   *  ******    * D;
 *   *** **  *   * ***   **   *   *  * %lf  **  * **   *  *    * ** ** 
    ** **** ** ***   * * **   *  - 4*a*c ;

 * **  *    * ****  *  **   * * ******** of %.2fx^2 + %.2fx + %.2f = 0 ***  ** **  * 

 ***   *   *   * *    *  *** * *   ** **  * ** *
* *  * *  * **        * *  *** * * ******    *** *  * ** ** * ** complex and     *  **   *   
*** ** *  *  * *** ***  *  *    * * *   *** *   *** *  * ** *** = **   * *  **** * *  (-b) / (2*a) ), sqrt(-D) / (2*a) );
  ***  * **  *    *** ***  *  ** *****      *   ***  **** ***  * *  =     **   **   (-b) / (2*a) ), sqrt(-D) / (2*a) );
* ** *  ** * ***** * ***   **
* *******  ****    ***  * * **  if(D==0){
     *** ** * * *** **** * * *  **  * * **  ** *  * * ** * **  *** *     real and same\n");
**** *** * * **   *** **** **  *  * ***   **  * * *  ****** = x2 = %.2f",( (-b) / (2*a) ) );
  * **  **  ****** ***  ** 
  * * ** * **  ** ** *** **    *   *  ***
*  * * *** **    ** * ***   ***  ** *  ** **** * **     *  *  real and  **  ** **  ** 
 * **** ***  ** ***   * * *  * *  **  *  *        * *** *   ***    ** *  *** = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
***  *   **  **  ******  ** **  * **  ***   ** **  **     ** *  **  *  = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
 **    ** **** ** * * * *  

* ****  **  *      *   ***  0;
}

Comments

/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 10

Hidden content!
#include * ** *   *  *** 
#include <math.h>
int main()
{
  * ** * ****  **********  * a,b,c,x,y,d;
 * * *  ** ** *  **   ***  ***  *   *** %f *** *  *  * ** ***  ***    * * *   
  ** ***  *****  * *   * *** ** *  * 
           ****  *   *    *    *  *****
   * **     ***    *     * ***  * **   *    
***  ** *   *   ** *   *  (d>0){
 **   **  ** *  *  ** **  **    **     of %.2fx^2 + %.2fx + %.2f = 0 are real and *** * *    * ** *
* * *  * *** ******  *    ***     * *     = %.2f\nx2 = %.2f",x,y);
**  **   *     ** * *   * 
 * ** * **  **      *   if (d==0){
* *     ****  ***  **  * **    ** **  *** of %.2fx^2 + %.2fx + %.2f = 0 are real and *  ***  ** * ***
 *   * **  **  * **** ***     *  * * **   = x2 = %.2f",x);
 *** *****  *** **  *  *
**     ** ** * * *** **    *    * 
 * ****  ** *  **  ***** *  **
*     *   *  * * * *   **  **   ** ** ***  of %.2fx^2 + %.2fx + %.2f = 0 are complex and   *  **     *  * **   
* ****** *****     ** *  ** **   ******** 
*   *   ** ** * **  ***** **  * *  *  **  = *** **  ** *** * **  
   ***  *** ********** *  * **   *  ****     =   * ** *  ****  ** 
  ***  * ****  * *  **  

***   ** ** * ** ****    ** *  *  *  0;
}

Comments

/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output